Predictions for the unitarity triangle angles in a new parametrization

A new approach to the parametrization of the CKM matrix, V , is considered in which V is written as a linear combination of the unit matrix I and a non-diagonal matrix U which causes intergenerationalmixing, that is V = cos θ I + i sin θ U . Such a V depends on 3 real parameters including the parameter θ. It is interesting that a value of θ = π/4 is required to fit the available data on the CKM-matrix including CP-violation. Predictions of this fit for the angles α, β and γ for the unitarity triangle corresponding to V11V ∗ 13 +V21V ∗ 23 +V31V ∗ 33 = 0, are given. For θ=π/4, we obtain α = 88.46, β = 45.046 and γ = 46.5. These values are just about in agreement, within errors, with the present data. It is very interesting that the unitarity triangle is expected to be approximately a right-angled, isosceles triangle. [email protected] [email protected]